6/5x+7/16=x-3/2 eching

$$\frac { 6 } { 5 } x + \frac { 7 } { 16 } = x - \frac { 3 } { 2 }$$

x uchun yechish

$$x = -\frac{155}{16} = -9\frac{11}{16} = -9,6875$$

Chiziqli tenglamalarni yechish bo'yicha qadamlar

Ikkala tarafdan x ni ayirish.

$$\frac{6}{5}x+\frac{7}{16}-x=-\frac{3}{2}$$

\frac{1}{5}x ni olish uchun \frac{6}{5}x va -x ni birlashtirish.

$$\frac{1}{5}x+\frac{7}{16}=-\frac{3}{2}$$

Ikkala tarafdan \frac{7}{16} ni ayirish.

$$\frac{1}{5}x=-\frac{3}{2}-\frac{7}{16}$$

2 va 16 ning eng kichik umumiy karralisi 16 ga teng. -\frac{3}{2} va \frac{7}{16} ni 16 maxraj bilan kasrlarga aylantirib oling.

$$\frac{1}{5}x=-\frac{24}{16}-\frac{7}{16}$$

-\frac{24}{16} va \frac{7}{16} da bir xil maxraji bor, ularning suratini ayirish orqali ayiring.

$$\frac{1}{5}x=\frac{-24-7}{16}$$

-31 olish uchun -24 dan 7 ni ayirish.

$$\frac{1}{5}x=-\frac{31}{16}$$

Ikki tarafini 5 va teskari kasri \frac{1}{5} ga ko‘paytiring.

$$x=-\frac{31}{16}\times 5$$

-\frac{31}{16}\times 5 ni yagona kasrga aylantiring.

$$x=\frac{-31\times 5}{16}$$

-155 hosil qilish uchun -31 va 5 ni ko'paytirish.

$$x=\frac{-155}{16}$$

\frac{-155}{16} kasri manfiy belgini olib tashlash bilan -\frac{155}{16} sifatida qayta yozilishi mumkin.

$$x=-\frac{155}{16}$$